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Anna71 [15]
2 years ago
7

8. The expression (x+5)(x+8)+(x+5)(2x - 3) can be written as the product of (x + 5) and

Mathematics
1 answer:
ale4655 [162]2 years ago
8 0

Answer:

(x + 5)(3x + 5)

Step-by-step explanation:

(x - 5)(x + 8) + (x + 5)(2x - 3) ← factor out (x + 5) from each term

= (x + 5)(x + 8 + 2x - 3)

= (x + 5)(3x + 5)

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Answer:

Volume of sphere A = 128x (Approx.)

Step-by-step explanation:

Given:

Radius of sphere A = 2 x Radius of sphere B

Volume of sphere B = 16x

Find:

Volume of sphere A

Computation:

Volume of sphere = (4/3)(π)(r)³

Volume of sphere B = (4/3)(π)(r)³

16x = (4/3)(π)(r)³

16x = (4/3)(22/7)(r)³

16x = (88/21)(r)³

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Radius of sphere A = 2 x Radius of sphere B

Radius of sphere A = 2 x 1.56∛x

Radius of sphere A = 3.12∛x Approx.

Volume of sphere A = (4/3)(π)(r)³

Volume of sphere A = (4/3)(22/7)(3.12∛x)³

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2 years ago
Solve the equation (3x/3x-1) + 2/x = 1
Dmitry_Shevchenko [17]

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Step-by-step explanation:

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3 years ago
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2 years ago
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67000 dollars is placed in an account with an annual interest rate of 8.25%. how much will be in the account after 28 years, to
anastassius [24]

Answer:

The Amount of money in the account after 28 years is $616,674.5

Step-by-step explanation:

Given as :

The principal amount placed in the account = p = $67,000

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The time period of amount in the account = t = 28

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Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

A = p × (1+\dfrac{\textrm r}{100})^{\textrm t}

Or, A = $67,000 × (1+\dfrac{\textrm 8.25}{100})^{\textrm 28}

Or, A = $67,000 × (1.0825)^{28}

Or, A = $67,000 × 9.2041

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